Unification of Gravity, Gauge and Higgs Fields by Confined Quantum Fields II -Effective Theory-

TL;DR

This paper demonstrates how Einstein SO(N)-Yang-Mills-Higgs theory naturally emerges as a low-energy effective theory from the dynamics of quantized free fields in a higher-dimensional flat space, linking geometry and field interactions.

Contribution

It introduces a novel approach where gravity, gauge, and Higgs fields are derived from embedding functions in a higher-dimensional space, unifying these fields within a geometric framework.

Findings

Gravity, gauge, and Higgs fields are induced from embedding functions.

Effective Einstein SO(N)-Yang-Mills-Higgs theory is derived.

The approach connects higher-dimensional embeddings with low-energy field theories.

Abstract

Dynamics of quantized free fields ( of spin 0 and 1/2 ) contained in a subspace $V_*$ of an N+4 dimensional flat space $V$ is studied. The space $V_*$ is considered as a neighborhood of a four dimensional submanifold $M$ arbitrarily embedded into $V$. We show that Einstein SO(N)-Yang-Mills Higgs theory is induced as a low energy effective theory of the system. Gravity, SO(N) gauge fields and Higgs fields are obtained from embedding functions of $M$.